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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Solutions of the Cambridge Problems, from 1800 to 1820 - Page 650
by John Martin Frederick Wright - 1836
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...square described on the third side, then the angle contained by the two sides is a right angle. 4. If a straight line be divided into two equal and also into two unequal parts, then the rectangle contained by the unequal parts, together with the square on the line between the...
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The Competitor, Volumes 1-2

1882 - 486 pages
...shall be equal in area to a given triangle, and shall have one of its angles equal to a given angle. 5. If a straight line be divided into two equal, and also into two nnequal parts, show that the rectangle contained by the unequal parts, together with the square on...
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Annual Report

1886 - 568 pages
...4. Equal triangles on the same base and on the same side of it, are between the same parallels. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...
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The Practical Teacher, Volume 2

Education - 1883 - 654 pages
...into any two parts at C. Then rcct. AB, BC = reel. AC, BC, together with sq. on BC.— See Prop. 3, 3. If a straight line be divided into two equal, and also into two unequal, parts, the sqs. on the two unequal parts are together double of the sq. on half the line, and of the sq. on the...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...lines make the alternate angles equal to one another, these two straight lines must be parallel. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two .unequal parts are together double of the square on half the line and of the square on the...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...alternate angles equal to one another, the two straight lines shall be parallel to one another. 6. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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Calendar of Dalhousie College and University

Dalhousie University - 1886 - 216 pages
...other and the angles included by the sides supplementary, the triangles shall be equal in area. 2. If a line be divided into two equal and also into two unequal parts, the rectangle contained by the two latter, together with the square of the line between the points of section,...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...the rectangle ABCD is equal to twice the triangle AEF together with the rectangle BE, DF. 231. If a line be divided into two equal and also into two unequal...the squares of the two unequal parts are together equal to twice the rectangle contained by these parts together with four times the square of the line...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...respects. 2. Parallelograms on equal bases and between the same parallels are equal to one another. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together doable of the square on half the line together with the square...
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